106899264 has 140 divisors (see below), whose sum is σ = 335799684. Its totient is φ = 33509376.

The previous prime is 106899241. The next prime is 106899277. The reversal of 106899264 is 462998601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 68558400 = 6192^2 + 8280^2 .

It is a super-2 number, since 2×106899264² = 22854905287483392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87522 + ... + 88734.

Almost surely, 2^106899264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167899842).

106899264 is an abundant number, since it is smaller than the sum of its proper divisors (228900420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106899264 is a wasteful number, since it uses less digits than its factorization.

106899264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 106899264 is about 10339.2100278503. The cubic root of 106899264 is about 474.5969086282.

The spelling of 106899264 in words is "one hundred six million, eight hundred ninety-nine thousand, two hundred sixty-four".